Question

Use the graph of f to estimate the local maximum and local minimum. (5 points)

Answer 1

the one under the one you picked but im not 100% sure

Answer 2

Local maximum: (0,1)

Local minimum:
`(-\pi,-1)\text{ and }((3\pi)/(2),-1)`

Explanation:

To estimate the local maximum and local minimum using graph.

Local maximum: It is largest value of function for all other values of function near by.

Local minimum: It is smallest value of function for all other values of function near by.

A function has two extrema maxima or minima.

Please see the attachment for graph.

In graph highest point only 1, Only one local maximum at x=0

Local maximum: (0,1)

In graph two lowest point at
`x=-\pi\text{ and }x=(3\pi)/(2)`

Local minimum:
`(-\pi,-1)\text{ and }((3\pi)/(2),-1)`

Hence, Local maximum: (0,1) ; Local minimum:
`(-\pi,-1)\text{ and }((3\pi)/(2),-1)`